## Advanced Studies in Pure Mathematics

### Effective degree bounds for generalized Gauss map images

#### 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.

#### Article information

Dates
Revised: 31 March 2014
First available in Project Euclid: 23 October 2018

https://projecteuclid.org/ euclid.aspm/1540319489

Digital Object Identifier
doi:10.2969/aspm/07410203

Mathematical Reviews number (MathSciNet)
MR3791215

Zentralblatt MATH identifier
1388.14140

#### Citation

Heier, Gordon; Takayama, Shigeharu. Effective degree bounds for generalized Gauss map images. Higher Dimensional Algebraic Geometry: In honour of Professor Yujiro Kawamata's sixtieth birthday, 203--235, Mathematical Society of Japan, Tokyo, Japan, 2017. doi:10.2969/aspm/07410203. https://projecteuclid.org/euclid.aspm/1540319489