Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Massey, David B."'
Autor:
Massey, David B.
We define and describe the properties of a class of perverse sheaves which is very useful when the base ring is not a field.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/2407.06879
Autor:
Massey, David B.
For a hypersurface defined by a complex analytic function, we obtain a chain complex of free abelian groups, with ranks given in terms of relative polar multiplicities, which has cohomology isomorphic to the reduced cohomology of the real link. This
Externí odkaz:
http://arxiv.org/abs/2407.03313
Autor:
Massey, David B.
We derive a number of inequalities involving L\^e numbers of non-isolated hypersurface singularities. In particular, we derive L\^e-Iomdine formulas with inequalities and use these, together with Teissier's Minkowski inequalities for sectional Milnor
Externí odkaz:
http://arxiv.org/abs/2406.11758
Autor:
Massey, David B.
We prove a number of results involving the kernel of the identity minus the monodromy on the vanishing cycles.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/2403.00941
Autor:
Massey, David B.
We describe how the canonical and variation maps between the shifted nearby and vanishing cycles interact with Verdier dualizing.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2308.07819
Autor:
Massey, David B.
For a complex analytic function $f$, the exceptional divisor of the jacobian blow-up is of great importance. In this paper, we show what a lemma from the thesis of Lazarsfeld tells one about the structure of this exceptional divisor.
Comment: ve
Comment: ve
Externí odkaz:
http://arxiv.org/abs/2210.10000
Autor:
Massey, David B.
We show that the Theorem of Bobadilla and Pe{\l}ka implies a non-isolated version for aligned hyper surface singularities.
Comment: 1 page. Just a quick note
Comment: 1 page. Just a quick note
Externí odkaz:
http://arxiv.org/abs/2209.03939
Autor:
Massey, David B.
We give a characterization of the support and cosupport conditions for a perverse sheaf in terms of the Whitney filtration.
Comment: Just a 4-page discussion and lemma, of possible use to others
Comment: Just a 4-page discussion and lemma, of possible use to others
Externí odkaz:
http://arxiv.org/abs/2207.02566
Autor:
Massey, David B.
We consider a homogeneous polynomial of degree equal to a prime power and examine the cohomology of the Milnor fiber.
Comment: No results were changed, but the text was completely revised, including the addition of new references
Comment: No results were changed, but the text was completely revised, including the addition of new references
Externí odkaz:
http://arxiv.org/abs/2205.08537