On pseudoeffective cones of projective bundles and volume function

Autor:	Misra, Snehajit, Singh, Anoop
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry Primary 14C20 14E30 14E99 Secondary 14D20 14D06
Druh dokumentu:	Working Paper
Popis:	In this article, we compute the pseudo-effective cones of various projective bundles $\mathbb{P}_X(E)$ over higher dimensional varieties $X$ under some assumptions on $X$ as well as on the vector bundle $E$. We also compute the volume function on fibre product $\mathbb{P}(E)\times_C\mathbb{P}(F)$ of two projective bundles over a smooth irreducible complex projective curve $C$. In particular, we show that the volume function on the fiber product of two ruled surfaces is of polynomial type. Comment: Revised Version, 30 Pages, Comments are Welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.07007 Zobrazit plný text záznamu View this record from Arxiv