Topological radon transforms and degree formulas for dual varieties

Yutaka Matsui; Kiyoshi Takeuchi

doi:10.1090/S0002-9939-08-09270-8

Topological radon transforms and degree formulas for dual varieties

Yutaka Matsui, Kiyoshi Takeuchi

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

1 Citation (Scopus)

Abstract

We give a simpler and purely topological proof of Ernström's class formula (1997) for the degree of dual varieties. Our new proof also allows us to obtain a formula describing the degrees of the associated varieties studied by Gelfand, Kapranov and Zelevinsky (1994).

Original language	English
Pages (from-to)	2365-2373
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9939-08-09270-8
Publication status	Published - 2008 Jul
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-08-09270-8

Cite this

@article{efb9c55a6adc459b91f9c7673e3e105c,

title = "Topological radon transforms and degree formulas for dual varieties",

abstract = "We give a simpler and purely topological proof of Ernstr{\"o}m's class formula (1997) for the degree of dual varieties. Our new proof also allows us to obtain a formula describing the degrees of the associated varieties studied by Gelfand, Kapranov and Zelevinsky (1994).",

author = "Yutaka Matsui and Kiyoshi Takeuchi",

year = "2008",

month = jul,

doi = "10.1090/S0002-9939-08-09270-8",

language = "English",

volume = "136",

pages = "2365--2373",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "7",

}

TY - JOUR

T1 - Topological radon transforms and degree formulas for dual varieties

AU - Matsui, Yutaka

AU - Takeuchi, Kiyoshi

PY - 2008/7

Y1 - 2008/7

N2 - We give a simpler and purely topological proof of Ernström's class formula (1997) for the degree of dual varieties. Our new proof also allows us to obtain a formula describing the degrees of the associated varieties studied by Gelfand, Kapranov and Zelevinsky (1994).

AB - We give a simpler and purely topological proof of Ernström's class formula (1997) for the degree of dual varieties. Our new proof also allows us to obtain a formula describing the degrees of the associated varieties studied by Gelfand, Kapranov and Zelevinsky (1994).

UR - http://www.scopus.com/inward/record.url?scp=77950815788&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950815788&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-08-09270-8

DO - 10.1090/S0002-9939-08-09270-8

M3 - Article

AN - SCOPUS:77950815788

SN - 0002-9939

VL - 136

SP - 2365

EP - 2373

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 7

ER -

Topological radon transforms and degree formulas for dual varieties

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this