Higher Brill-Noether loci and Bogomolov-Gieseker type inequality

作者：Nakashima Tohru^*

来源：ARCHIV DER MATHEMATIK, 2017, 109(4): 335-340.

DOI：10.1007/s00013-017-1067-7

• Stable sheaves
• Brill-Noether loci
• Bogomolov-Gieseker inequality
• Calabi-Yau threefolds

We discuss the Brill-Noether loci of the moduli of mu-stable sheaves on a smooth projective variety, and obtain some necessary conditions for these loci to be non-empty. As an application of our result, we prove Bogomolov-Gieseker type inequalities concerning the third Chern character of the mu-stable sheaves on Calabi-Yau threefolds.

• 出版日期2017-10