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VOL. 74 | 2017 Effective degree bounds for generalized Gauss map images
Gordon Heier, Shigeharu Takayama

Editor(s) Keiji Oguiso, Caucher Birkar, Shihoko Ishii, Shigeharu Takayama

Adv. Stud. Pure Math., 2017: 203-235 (2017) DOI: 10.2969/aspm/07410203

Abstract

We establish effective uniform degree bounds for the generalized Gauss map images of an embedded projective variety $X \subset \mathbb P^N$ in terms of numerical invariants such as $\dim X,$ $\deg X$ and $N$. This can be seen as a generalization of a classical Castelnuovo type bound.

Information

Published: 1 January 2017
First available in Project Euclid: 23 October 2018

zbMATH: 1388.14140
MathSciNet: MR3791215

Digital Object Identifier: 10.2969/aspm/07410203

Subjects:
Primary: 14J40 , 14M15 , 14N05 , 14N15

Rights: Copyright © 2017 Mathematical Society of Japan

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