The Affine Cones Over Fano–Mukai Fourfolds of Genus 7 Are Flexible-Reference-Cited by-同舟云学术

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The Affine Cones Over Fano–Mukai Fourfolds of Genus 7 Are Flexible

Published:2023-11-23 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Thi Anh Hang Nguyen¹,Le Truong Hoang²³

Affiliation:

1. Thai Nguyen University of Education , Thai Nguyen City 24000, Viet Nam

2. Institute of Mathematics, VAST, 18 Hoang Quoc Viet Road , 10072 Hanoi, Viet Nam

3. Department of Mathematics, College of Humanities and Sciences, Nihon University , 3-25-40 Sakurajosui, Setagaya-Ku 156-8550, Tokyo, Japan

Abstract

Abstract In this paper, we will show that the affine cones over any smooth Fano–Mukai fourfold of genus $7$ are flexible.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnad275/53707034/rnad275.pdf

Reference21 articles.

1. On extremal rays of the higher-dimensional varieties;Ando;Invent. Math.,1985

2. Flexible varieties and automorphism groups;Arzhantsev;Duke Math. J.,2013

3. Flag varieties, toric varieties, and suspessions: three examples of infinite transitivity;Arzhantsev;Mat. Sb.,2012

4. On contractions of smooth varieties;Andreatta;J. Algebraic Geom.,1998

5. Morphisms of projective varieties from the viewpoint of minimal model theory;Andreatta;Diss. Math.,2003

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