Swan conductors and torsion in the logarithmic de Rham complex

Sinan ÜNVER

Makale detayları

Swan conductors and torsion in the logarithmic de Rham complex

Yazarlar:

Sinan ÜNVER

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2010 Vol.34 Issue 4, pp.451-464

Belge Tipi:

Makale

Yayın Tarihi:

3/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748042

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

We prove, for an arithmetic scheme X/S over a discrete  valuation ring whose special fiber is a strict normal crossings  divisor in X, that the Swan conductor of X/S is equal to the Euler  characteristic of the torsion in the logarithmic de Rham complex of  X/S. This is a precise logarithmic analog of a theorem by Bloch [1].

 

We prove, for an arithmetic scheme X/S over a discrete  valuation ring whose special fiber is a strict normal crossings  divisor in X, that the Swan conductor of X/S is equal to the Euler  characteristic of the torsion in the logarithmic de Rham complex of  X/S. This is a precise logarithmic analog of a theorem by Bloch [1].

Makale detayları

Swan conductors and torsion in the logarithmic de Rham complex

Yazarlar:

Sinan ÜNVER

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2010 Vol.34 Issue 4, pp.451-464

Belge Tipi:

Makale

Yayın Tarihi:

3/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748042

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Turk. J. Math.

34

(2010)

451-464. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.34

iss.4.

Sayı

Makale detayları

Swan conductors and torsion in the logarithmic de Rham complex

Yazarlar: Sinan ÜNVER

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2010 Vol.34 Issue 4, pp.451-464

Belge Tipi: Makale

Yayın Tarihi: 3/2010

Belge Dili: Türkçe

Document ID (Org No.): 2000748042

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Turk. J. Math.

34

(2010)

451-464. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.34

iss.4.

Sayı

Yazarlar:

Sinan ÜNVER

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2010 Vol.34 Issue 4, pp.451-464

Belge Tipi:

Makale

Yayın Tarihi:

3/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748042

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098