Some Remarks on H-stability of syzygy bundle on algebraic surface

Abstract

Let $L$ be a globally generated line bundle over a smooth irreducible complex projective surface $X$. The syzygy bundle $M_L$ is the kernel of the evaluation map $H^0(L)\otimes {\mathcal{O}}_X\to L$. We prove the $L$-stability of $M_L$ for Hirzebruch surfaces, del Pezzo surfaces and Enriques surfaces. The $(-K_X)$-stability of syzygy bundles $M_L$ over del Pezzo surfaces is also obtained.

8 Pages

References in corpus (1)

• Birational maps of moduli of Brill-Noether pairs

Cited by in corpus (1)

• Stability of syzygy bundles on smooth projective varieties