Pushforward of structure sheaf and virtual global generation

Authors

Indranil Biswas, Shiv Nadar Institution of Eminence deemed to be University
Manish Kumar, Indian Statistical Institute Bangalore
A. J. Parameswaran, Tata Institute of Fundamental Research, Mumbai

Article Type

Research Article

Publication Title

Proceedings of the Edinburgh Mathematical Society

Abstract

Let be a generically smooth morphism between irreducible smooth projective curves over an algebraically closed field of arbitrary characteristic. We prove that the vector bundle is virtually globally generated. Moreover, is ample if and only if f is genuinely ramified.

First Page

663

Last Page

673

DOI

10.1017/S001309152400021X

Publication Date

8-1-2024

Comments

Open Access; Bronze Open Access; Green Open Access

Recommended Citation

Biswas, Indranil; Kumar, Manish; and Parameswaran, A. J., "Pushforward of structure sheaf and virtual global generation" (2024). Journal Articles. 5016.
https://digitalcommons.isical.ac.in/journal-articles/5016