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THE MODULI STACK OF RANK-TWO GIESEKER BUNDLES WITH FIXED DETERMINANT ON A NODAL CURVE II

TAKESHI ABE

Graduate School of Science and Technology, Kumamoto University, 2-39-1 Kurokami, Kumamoto 860-8555, Japan

https://doi.org/10.1142/S0129167X09005558Cited by:4 (Source: Crossref)

Abstract

We introduce a new definition of rank 2 Gieseker-bundles with fixed determinant on a nodal curve, and show that their moduli stack is normal crossing.

Keywords:

AMSC: 14H60, 14D20

References

T. Abe, Moduli Spaces and Arithmetic Geometry, Advanced Studies in Pure Mathematics 45 (2006) pp. 117–144. Crossref, Google Scholar
A. Beauville and Y. Laszlo, C. R. Acad. Sci. Paris Ser. I Math. 320(3), 335 (1995). Google Scholar
U. N. Bhosle, Int. Math. Res. Not. 57, 3057 (2004). Google Scholar
U. N. Bhosle, Proc. Indian Acad. Sci. Math. Sci. 115(4), 445 (2005), DOI: 10.1007/BF02829806. Crossref, Web of Science, Google Scholar
G. Faltings, Math. Ann. 304, 489 (1996), DOI: 10.1007/BF01446303. Crossref, Web of Science, Google Scholar
D. Gieseker, J. Differential Geom. 19, 173 (1984). Crossref, Web of Science, Google Scholar
R. Hartshorne , Residues and Duality , Lecture Notes in Mathematics 20 ( Springer-Verlag , Berlin, New York , 1966 ) . Crossref, Google Scholar
I. Kausz, Doc. Math. 5, 553 (2000). Crossref, Google Scholar
I. Kausz, Trans. Amer. Math. Soc. 357(12), 4897 (2005), DOI: 10.1090/S0002-9947-04-03618-9. Crossref, Web of Science, Google Scholar
F. F. Knudsen, Math. Scand. 52(2), 161 (1983). Crossref, Web of Science, Google Scholar
G. Laumon and L. Moret-Bailly , Champs Algébriques , Ergebnisse der Mathematik und ihrer Grenzgebiete ( Springer ) . Crossref, Google Scholar
D. S. Nagaraj and C. S. Seshadri, Proc. Indian Acad. Sci. 109, 165 (1999), DOI: 10.1007/BF02841533. Google Scholar
A. H. W. Schmitt, J. Eur. Math. Soc. 7(2), 215 (2005). Crossref, Web of Science, Google Scholar
A. H. W. Schmitt, Int. Math. Res. Not. 23, 1427 (2005). Google Scholar
X. Sun, Asian J. Math. 7(4), 609 (2003). Crossref, Web of Science, Google Scholar