Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
De Rham [InlineEquation not available: see fulltext.]-factors. |
| Συγγραφείς: |
Patel, Deepam |
| Πηγή: |
Inventiones Mathematicae; Nov2012, Vol. 190 Issue 2, p299-355, 57p |
| Θεματικοί όροι: |
EPSILON (Computer program language), Cohomology theory, Equations, Curves, Mathematics |
| Περίληψη: |
We construct a theory of de Rham epsilon factors. Given a smooth projective variety X over a field of characteristic 0 and a [InlineEquation not available: see fulltext.]-module [InlineEquation not available: see fulltext.], we may consider the determinant of de Rham cohomology [InlineEquation not available: see fulltext.] as a graded super line. Let S be the singular support of [InlineEquation not available: see fulltext.], U an open in X, Y= X∖ U, and ν a 1-form on U⊂ X such that ν( U)∩ S=∅. Then we show the existence of a canonically defined graded super line [InlineEquation not available: see fulltext.] canonically isomorphic to [InlineEquation not available: see fulltext.]. The key property is the local nature of the epsilon factor: it only depends on the restriction of [InlineEquation not available: see fulltext.] and ν to any open neighborhood of Y. Restricting to the case of curves gives a theory of epsilon factors for curves previously defined by Beilinson, Bloch, Deligne, and Esnault. [ABSTRACT FROM AUTHOR] |
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