On the genus of elliptic fibrations

J. B. Gatsinzi

doi:10.1090/S0002-9939-03-07203-4

On the genus of elliptic fibrations

J. B. Gatsinzi

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

2 Citations (Scopus)

Abstract

A simply connected topological space is called elliptic if both π*(X, ℚ) and H*(X, ℚ) are finite-dimensional ℚ-vector spaces. In this paper, we consider fibrations for which the fibre X is elliptic and H*(X, ℚ) is evenly graded. We show that in the generic cases, the genus of such a fibration is completely determined by generalized Chern classes of the fibration.

Original language	English
Pages (from-to)	597-606
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	132
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-03-07203-4
Publication status	Published - Feb 2004

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9939-03-07203-4

Cite this

@article{1dcc980a527c4971b8ba671adde6bf6c,

title = "On the genus of elliptic fibrations",

abstract = "A simply connected topological space is called elliptic if both π*(X, ℚ) and H*(X, ℚ) are finite-dimensional ℚ-vector spaces. In this paper, we consider fibrations for which the fibre X is elliptic and H*(X, ℚ) is evenly graded. We show that in the generic cases, the genus of such a fibration is completely determined by generalized Chern classes of the fibration.",

author = "Gatsinzi, \{J. B.\}",

year = "2004",

month = feb,

doi = "10.1090/S0002-9939-03-07203-4",

language = "English",

volume = "132",

pages = "597--606",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - On the genus of elliptic fibrations

AU - Gatsinzi, J. B.

PY - 2004/2

Y1 - 2004/2

N2 - A simply connected topological space is called elliptic if both π*(X, ℚ) and H*(X, ℚ) are finite-dimensional ℚ-vector spaces. In this paper, we consider fibrations for which the fibre X is elliptic and H*(X, ℚ) is evenly graded. We show that in the generic cases, the genus of such a fibration is completely determined by generalized Chern classes of the fibration.

AB - A simply connected topological space is called elliptic if both π*(X, ℚ) and H*(X, ℚ) are finite-dimensional ℚ-vector spaces. In this paper, we consider fibrations for which the fibre X is elliptic and H*(X, ℚ) is evenly graded. We show that in the generic cases, the genus of such a fibration is completely determined by generalized Chern classes of the fibration.

UR - https://www.scopus.com/pages/publications/0742271608

UR - https://www.scopus.com/inward/citedby.url?scp=0742271608&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-03-07203-4

DO - 10.1090/S0002-9939-03-07203-4

M3 - Article

AN - SCOPUS:0742271608

SN - 0002-9939

VL - 132

SP - 597

EP - 606

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

On the genus of elliptic fibrations

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this