Frauke M. Bleher - Publications

WORK IN PROGRESS

• F.M. Bleher, T. Chinburg, R. Greenberg, M. Kakde, R. Sharifi and M.J. Taylor, "Higher Chern classes of Iwasawa modules and elliptic units," in progress.

SUBMITTED RESEARCH ARTICLES

• F.M. Bleher and T. Chinburg, "Explicit approximations to class field towers," submitted, 2023. ArXiv:2301.05673

• F.M. Bleher and T. Chinburg, "Cup products on curves over finite fields," revising to resubmit, 2023. ArXiv:2101.00329

PUBLICATIONS: REFEREED (ACCEPTED OR PUBLISHED)

55. F.M. Bleher, T. Chinburg and J. Gillibert, "Massey products and elliptic curves," Proc. London Math. Soc. (3) 127 (2023), 134-164. DOI: 10.1112/plms.12541

54. F.M. Bleher and A. Wood, "The Galois module structure of holomorphic poly-differentials and Riemann-Roch spaces," J. Algebra 631 (2023), 756-803. DOI: 10.1016/j.algebra.2023.05.010

53. F.M. Bleher and N. Camacho, "Holomorphic differentials of Klein four covers," J. Pure Appl. Algebra 227 (2023), Paper No.107384. DOI: 10.1016/j.jpaa.2023.107384

52. F.M. Bleher, T. Chinburg and A. Lubotzky, "On representations of Gal(Q/Q), {GT}^ and Aut({F₂}^)," J. Algebra 607 (Jan Saxl volume) (2022), 134-159. DOI: 10.1016/j.jalgebra.2021.06.005

51. F.M. Bleher, T. Chinburg and J. Gillibert, "Unramified Heisenberg group extensions of number fields," Israel J. Math. 247 (2022), 233-249. DOI: 10.1007/s11856-021-2260-8

50. F.M. Bleher, T. Chinburg, R. Greenberg, M. Kakde, R. Sharifi and M.J. Taylor, "Exterior powers in Iwasawa theory," J. Eur. Math. Soc. 24 (2022), 967-1005. DOI: 10.4171/JEMS/1115

49. F.M. Bleher, T. Chinburg and A. Kontogeorgis, "Galois structure of the holomorphic differentials of curves," J. Number Theory 216 (2020), 1-68. DOI: 10.1016/j.jnt.2020.04.015

48. F.M. Bleher, T. Chinburg, R. Greenberg, M. Kakde, G. Pappas, R. Sharifi and M.J. Taylor, "Higher Chern classes in Iwasawa theory," Amer. J. Math. 142 (2020), 627-682. DOI: 10.1353/ajm.2020.0017

47. F.M. Bleher, T. Chinburg and R.C. Soto, "Universal deformation rings, endo-trivial modules, and semidihedral and generalized quaternion 2-groups," J. Pure Appl. Algebra 223 (2019), 1897-1912. DOI: 10.1016/j.jpaa.2018.08.006

46. F.M. Bleher and D.J. Wackwitz, "Universal deformation rings and self-injective Nakayama algebras," J. Pure Appl. Algebra 223 (2019), 218-244. DOI: 10.1016/j.jpaa.2018.03.008

45. F.M. Bleher, T. Chinburg, R. Greenberg, M. Kakde, G. Pappas and M.J. Taylor, "Cup products in the étale cohomology of number fields," New York J. Math. 24 (2018), 514-542. http://nyjm.albany.edu/j/2018/24-28v.pdf

44. F.M. Bleher and J.A. Vélez-Marulanda, "Deformations of complexes for finite dimensional algebras," J. Algebra 491 (2017), 90-140. DOI: 10.1016/j.jalgebra.2017.08.003

43. F.M. Bleher, T. Chinburg, B. Poonen and P. Symonds, "Automorphisms of Harbater-Katz-Gabber curves," Math. Ann. 368 (2017), 811-836. DOI: 10.1007/s00208-016-1490-2

42. F.M. Bleher, T. Chinburg and B. Huisgen-Zimmermann, "Orbit closures and rational surfaces," J. Pure Appl. Algebra 22 (2016), 1785-1812. DOI: 10.1016/j.jpaa.2015.10.002

41. F.M. Bleher, T. Chinburg and B. Huisgen-Zimmermann, "The geometry of finite dimensional algebras with vanishing radical square," J. Algebra 425 (2015), 146-178. DOI: 10.1016/j.jalgebra.2014.11.010

40. F.M. Bleher, "Brauer's generalized decomposition numbers and universal deformation rings," Trans. Amer. Math. Soc. 366 (2014), 6507-6540. DOI: 10.1090/S0002-9947-2014-06120-5

39. F.M. Bleher, "Large universal deformation rings," Proc. Amer. Math. Soc. 142 (2014), 3039-3047. DOI: 10.1090/S0002-9939-2014-12104-6

38. F.M. Bleher, G. Llosent and J.B. Schaefer, "Universal deformation rings and tame blocks," J. Algebra 412 (2014), 87-106. DOI: 10.1016/j.jalgebra.2014.05.002

37. F.M. Bleher and S.N. Talbott, "Universal deformation rings of modules for algebras of dihedral type of polynomial growth," Algebr. Represent. Theory 17 (2014), 289-303. DOI: 10.1007/s10468-012-9399-2

36. F.M. Bleher, "Universal deformation rings of group representations, with an application of Brauer's generalized decomposition numbers," in: Expository Lectures on Representation Theory, edited by K. Igusa, A. Martsinkovsky, G. Todorov, Contemp. Math. 607 (2014), pp. 97-112. DOI: 10.1090/conm/607/12084

35. F.M. Bleher, T. Chinburg and B. de Smit, "Inverse Problems for deformation rings," Trans. Amer. Math. Soc. 365 (2013), 6149-6165. DOI: 10.1090/S0002-9947-2013-05848-5

34. F.M. Bleher and T. Chinburg, "Obstructions for deformations of complexes," Ann. Institut Fourier (Grenoble) 63 (2013), 613-654. DOI: 10.5802/aif.2771

33. F.M. Bleher and T. Chinburg, "Finiteness theorems for deformations of complexes," Ann. Institut Fourier (Grenoble) 63 (2013), 573-612. DOI: 10.5802/aif.2770

32. F.M. Bleher and J.A. Vélez-Marulanda, "Universal deformation rings of modules over Frobenius algebras," J. Algebra 367 (2012), 176-202. DOI: 10.1016/j.jalgebra.2012.06.008

31. F.M. Bleher, G. Llosent and J.B. Schaefer (Froelich), "Universal deformation rings and dihedral blocks with two simple modules," J. Algebra 345 (2011), 49-71. DOI: 10.1016/j.jalgebra.2011.08.010

30. F.M. Bleher and J.B. Froelich, "Universal deformation rings for the symmetric group S₅ and one of its double covers," J. Pure Appl. Algebra 215 (2011), 523-530. DOI: 10.1016/j.jpaa.2010.06.004

29. F.M. Bleher, "Universal deformation rings and generalized quaternion defect groups," Adv. Math. 225 (2010), 1499-1522. DOI: 10.1016/j.aim.2010.04.004

28. F.M. Bleher, "Dihedral blocks with two simple modules," Proc. Amer. Math. Soc. 138 (2010), 3467-3479. DOI: 10.1090/S0002-9939-10-10402-X

27. F.M. Bleher and G. Llosent, "Universal deformation rings for the symmetric group S₄," Algebr. Represent. Theory 13 (2010), 255-270. DOI: 10.1007/s10468-008-9120-7

26. F.M. Bleher, "Universal deformation rings and dihedral defect groups," Trans. Amer. Math. Soc. 361 (2009), 3661-3705. DOI: 10.1090/S0002-9947-09-04543-7

25. F.M. Bleher, T. Chinburg and J. Froelich, "Capping groups and some cases of the Fontaine-Mazur conjecture," Proc. Amer. Math. Soc. 137 (2009), 1551-1560. DOI: 10.1090/S0002-9939-08-09677-9

24. F.M. Bleher and T. Chinburg, "Pullback moduli spaces," Comm. Algebra 37 (2009), 1216-1239. DOI: 10.1080/00927870802466744

23. F.M. Bleher, "Universal deformation rings and dihedral 2-groups," J. London Math. Soc. 79 (2009), 225-237. DOI: 10.1112/jlms/jdn071

22. F.M. Bleher and T. Chinburg, "Galois structure of homogeneous coordinate rings," Trans. Amer. Math. Soc. 360 (2008), 6269-6301. DOI: 10.1090/S0002-9947-08-04436-X

21. F.M. Bleher and T. Chinburg, "Universal deformation rings need not be complete intersections," Math. Ann. 337 (2007), 739-767. DOI: 10.1007/s00208-006-0054-2

20. F.M. Bleher, "Deformations and derived equivalences," Proc. Amer. Math. Soc. 134 (2006), 2503-2510. DOI: 10.1090/S0002-9939-06-08269-4

19. F.M. Bleher and T. Chinburg, "Universal deformation rings need not be complete intersections," C. R. Math. Acad. Sci. Paris 342 (2006), 229-232. DOI: 10.1016/j.crma.2005.12.006

18. F.M. Bleher and T. Chinburg, "Deformations and derived categories," Ann. Institut Fourier (Grenoble) 55 (2005), 2285-2359 (75 pages). DOI: 10.5802/aif.2162

17. F.M. Bleher and T. Chinburg, "Deformations with respect to an algebraic group," Illinois J. Math. 47 (2003), 899-919. (Illinois Journal link to pdf file)

16. F.M. Bleher and T. Chinburg, "Applications of versal deformations to Galois theory," Comment. Math. Helv. 78 (2003), 45-64. DOI: 10.1007/s000140300002

15. F.M. Bleher, "Universal deformation rings and Klein four defect groups," Trans. Amer. Math. Soc. 354 (2002), 3893-3906. DOI: 10.1090/S0002-9947-02-03072-6

14. F.M. Bleher and T. Chinburg, "Locations of modules for Brauer tree algebras," J. Pure Appl. Algebra 169 (2002), 109-135. DOI: 10.1016/S0022-4049(01)00069-X

13. F.M. Bleher and T. Chinburg, "Deformations and derived categories," C. R. Math. Acad. Sci. Paris 334 (2002), 97-100. DOI: 10.1016/S1631-073X(02)02237-9

12. F.M. Bleher and T. Chinburg, "Universal deformation rings and cyclic blocks," Math. Ann. 318 (2000), 805-836. DOI: 10.1007/s002080000148

11. F.M. Bleher and W. Kimmerle, "On the structure of integral group rings of sporadic groups," LMS J. Comput. Math. 3 (2000), 274-306. ISSN 1461-1570 DOI: 10.1112/S1461157000000309

10. F.M. Bleher, "Operation of automorphisms on 1-tubes," J. Pure Appl. Algebra 138 (1999), 1-20. DOI: 10.1016/S0022-4049(97)00213-2

9. F.M. Bleher and T. Chinburg, "Operations on ring structures preserved by normalized automorphisms of group rings," J. Algebra 215 (1999), 531-542. DOI: 10.1006/jabr.1998.7749

8. F.M. Bleher, "Finite groups of Lie type of small rank," Pacific J. Math. 187 (1999), 215-239. DOI: 10.2140/pjm.1999.187.215

7. F.M. Bleher, "Integral group rings of finite groups of Lie type," Bull. London Math. Soc. 31 (1999), 43-44. DOI: 10.1112/S0024609398004937

6. F.M. Bleher, W. Kimmerle, K.W. Roggenkamp and M. Wursthorn, "Computational aspects of the isomorphism problem," in: Algorithmic Algebra and Number Theory, editors: B.H. Matzat, G.-M. Greuel, G. Hiss, Springer-Verlag, 1999, pp. 313-329.

5. F.M. Bleher, "Special biserial algebras and their automorphisms," in: Trends in the Representation Theory of Finite Dimensional Algebras, edited by E.L. Green, B. Huisgen-Zimmermann, Contemp. Math. 229 (1998), pp. 17-27. DOI: 10.1090/conm/229/03308

4. F.M. Bleher, "Automorphisms of string algebras", J. Algebra 201 (1998), 528-546. DOI: 10.1006/jabr.1997.7290

3. F.M. Bleher, M. Geck and W. Kimmerle, "Automorphisms of generic Iwahori-Hecke algebras and integral group rings of finite Coxeter groups," J. Algebra 197 (1997), 615-655. DOI: 10.1006/jabr.1997.7118

2. F.M. Bleher, G. Hiss and W. Kimmerle, "Autoequivalences of blocks and a conjecture of Zassenhaus," J. Pure Appl. Alg. 103 (1995), 23-43. DOI: 10.1016/0022-4049(94)00091-V

1. F.M. Bleher, "Tensor products and a conjecture of Zassenhaus," Arch. Math. 64 (1995), 289-298. DOI: 10.1007/BF01198082