Severi's results on correspondences

C. Pedrini, Charles Weibel

Research output: Contribution to journalArticle

Abstract

We analyze Seven's formula for the virtual number of fixed points of a correspondence T on a surface, and his notion of the rank of T. If the diagonal has valence zero, we verify Seven's formula with rank being the trace on the Neron-Seveni group. Otherwise, we show that Seven's formula holds with a corrected notion of rank. We apply Seven's formula to complex surfaces with involution, both K3 surfaces and surffices with Pg = q = 0.

Original languageEnglish (US)
Pages (from-to)493-504
Number of pages12
JournalRendiconti del Seminario Matematico
Volume71
Issue number3-4
StatePublished - Jan 1 2013

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Correspondence
K3 Surfaces
Involution
Fixed point
Trace
Verify
Zero

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Pedrini, C. ; Weibel, Charles. / Severi's results on correspondences. In: Rendiconti del Seminario Matematico. 2013 ; Vol. 71, No. 3-4. pp. 493-504.
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Severi's results on correspondences. / Pedrini, C.; Weibel, Charles.

In: Rendiconti del Seminario Matematico, Vol. 71, No. 3-4, 01.01.2013, p. 493-504.

Research output: Contribution to journalArticle

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