Group actions and irrationality in surface families

Nathan Chen; Louis Esser

doi:10.1007/s00029-025-01097-8

Group actions and irrationality in surface families

Nathan Chen, Louis Esser

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Rationality specializes in families of surfaces, even with mild singularities. In this paper, we study the analogous question for the degree of irrationality. We prove a specialization result when the degree of irrationality on the generic fiber arises from the quotient by a group action.

Original language	English (US)
Article number	96
Journal	Selecta Mathematica, New Series
Volume	31
Issue number	5
DOIs	https://doi.org/10.1007/s00029-025-01097-8
State	Published - Nov 2025

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

Keywords

Degree of irrationality
Group actions
Rational maps
Specialization

Access to Document

10.1007/s00029-025-01097-8

Cite this

@article{f85f9c5c407349fd887536385b1678d4,

title = "Group actions and irrationality in surface families",

abstract = "Rationality specializes in families of surfaces, even with mild singularities. In this paper, we study the analogous question for the degree of irrationality. We prove a specialization result when the degree of irrationality on the generic fiber arises from the quotient by a group action.",

keywords = "Degree of irrationality, Group actions, Rational maps, Specialization",

author = "Nathan Chen and Louis Esser",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.",

year = "2025",

month = nov,

doi = "10.1007/s00029-025-01097-8",

language = "English (US)",

volume = "31",

journal = "Selecta Mathematica, New Series",

issn = "1022-1824",

publisher = "Birkhauser Verlag Basel",

number = "5",

}

TY - JOUR

T1 - Group actions and irrationality in surface families

AU - Chen, Nathan

AU - Esser, Louis

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.

PY - 2025/11

Y1 - 2025/11

N2 - Rationality specializes in families of surfaces, even with mild singularities. In this paper, we study the analogous question for the degree of irrationality. We prove a specialization result when the degree of irrationality on the generic fiber arises from the quotient by a group action.

AB - Rationality specializes in families of surfaces, even with mild singularities. In this paper, we study the analogous question for the degree of irrationality. We prove a specialization result when the degree of irrationality on the generic fiber arises from the quotient by a group action.

KW - Degree of irrationality

KW - Group actions

KW - Rational maps

KW - Specialization

UR - https://www.scopus.com/pages/publications/105019239568

UR - https://www.scopus.com/inward/citedby.url?scp=105019239568&partnerID=8YFLogxK

U2 - 10.1007/s00029-025-01097-8

DO - 10.1007/s00029-025-01097-8

M3 - Article

AN - SCOPUS:105019239568

SN - 1022-1824

VL - 31

JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

IS - 5

M1 - 96

ER -

Group actions and irrationality in surface families

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this