A formula expresses the local epsilon factor of vanishing cycles in terms of a non-degenerate symmetric bilinear form, with its sign given by the discriminant, refining the Milnor formula and generalizing the Arf invariant in characteristic 2.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AG 2verdicts
UNVERDICTED 2representative citing papers
Constructs characteristic epsilon cycles for l-adic sheaves on varieties over finite or perfect fields that refine the characteristic cycle CC(F), satisfy Milnor-type formulas for local epsilon factors, and yield a product formula for global epsilon factors modulo roots of unity.
citing papers explorer
-
Symmetric bilinear forms and local epsilon factors of isolated singularities in positive characteristic
A formula expresses the local epsilon factor of vanishing cycles in terms of a non-degenerate symmetric bilinear form, with its sign given by the discriminant, refining the Milnor formula and generalizing the Arf invariant in characteristic 2.
-
Characteristic Epsilon Cycles of $\ell$-adic Sheaves on Varieties
Constructs characteristic epsilon cycles for l-adic sheaves on varieties over finite or perfect fields that refine the characteristic cycle CC(F), satisfy Milnor-type formulas for local epsilon factors, and yield a product formula for global epsilon factors modulo roots of unity.