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Explicit Serre dual...
Explicit Serre duality on complex spaces
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- Ruppenthal, Jean (författare)
- Bergische Universität Wuppertal
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- Samuelsson Kalm, Håkan, 1976 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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- Wulcan, Elizabeth, 1978 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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(creator_code:org_t)
- Elsevier BV, 2017
- 2017
- Engelska.
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Ingår i: Advances in Mathematics. - : Elsevier BV. - 1090-2082 .- 0001-8708. ; 305, s. 1320-1355
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Abstract
Ämnesord
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- In this paper we use recently developed calculus of residue currentstogether with integral formulas to give a new explicit analytic realization, as wellas a new analytic proof of Serre duality on any reduced pure n-dimensional paracompact complex space X. At the core of the paper is the introduction of concretefine sheaves $A^{n,q}_X$ of certain currents on X of bidegree (n,q), such that the corresponding Dolbeault complex becomes, in a certain sense, a dualizing complex. Inparticular, if X is Cohen-Macaulay (e.g., Gorenstein or a complete intersection)then this Dolbeault complex becomes an explicit fine resolution of the Grothendieck dualizing sheaf.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
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