Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Håkan Samuelsson Kalm"'
Publikováno v:
European Journal of Mathematics
European Journal of Mathematics, Springer, 2021, ⟨10.1007/s40879-021-00473-w⟩
European Journal of Mathematics, Springer, 2021, ⟨10.1007/s40879-021-00473-w⟩
We develop intersection theory in terms of the $${{\mathscr {B}}}$$ B -group of a reduced analytic space. This group was introduced in a previous work as an analogue of the Chow group; it is generated by currents that are direct images of Chern forms
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5fd8a0d2ed9f424b481ae809f8504f5e
https://hal.archives-ouvertes.fr/hal-03274407
https://hal.archives-ouvertes.fr/hal-03274407
Autor:
Håkan Samuelsson Kalm
Publikováno v:
The Journal of Geometric Analysis. 31:1786-1820
We solve the $${\bar{\partial }}$$ ∂ ¯ -equation for (p, q)-forms locally on any reduced pure-dimensional complex space and we prove an explicit version of Serre duality by introducing suitable concrete fine sheaves of certain (p, q)-currents. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c1c578c868c479b9cd888d5b8852b42
https://doi.org/10.1007/s12220-019-00325-w
https://doi.org/10.1007/s12220-019-00325-w
Publikováno v:
The Journal of Geometric Analysis. 30:2974-3001
We study the solvability in $L^p$ of the $\bar\partial$-equation in a neighborhood of a canonical singularity on a complex surface, a so-called du Val singularity. We get a quite complete picture in case $p=2$ for two natural closed extensions $\bar\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcce402762ba258d4ab33a253abf29de
https://doi.org/10.1007/s12220-019-00187-2
https://doi.org/10.1007/s12220-019-00187-2
Given equidimensional (generalized) cycles $$\mu _1$$ μ 1 and $$\mu _2$$ μ 2 on a complex manifold Y we introduce a product $$\mu _1\diamond _{Y} \mu _2$$ μ 1 ⋄ Y μ 2 that is a generalized cycle whose multiplicities at each point are the local
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b208d720051f003e1a84cb1b926825b
http://arxiv.org/abs/2003.06180
http://arxiv.org/abs/2003.06180
Publikováno v:
Matematische Annalen
Matematische Annalen, In press, ⟨10.1007/s00208-020-01973-y⟩
Matematische Annalen, In press, ⟨10.1007/s00208-020-01973-y⟩
On a reduced analytic space X we introduce the concept of a generalized cycle, which extends the notion of a formal sum of analytic subspaces to include also a form part. We then consider a suitable equivalence relation and corresponding quotient $$\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::916784c80793b47c33fdbf088588e2e6
http://hdl.handle.net/20.500.12278/9549
http://hdl.handle.net/20.500.12278/9549
Autor:
Håkan Samuelsson Kalm
We make the classical Dickenstein-Sessa canonical representation in local moderate cohomology explicit by an integral formula. We also provide a similar representation of the higher local moderate cohomology groups. The results are related to holomor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b809bfaba321a6bc5d10bf2018166764
http://arxiv.org/abs/1703.03661
http://arxiv.org/abs/1703.03661
Publikováno v:
Analysis Meets Geometry, Trends in Mathematics. Andersson M., Boman J., Kiselman C., Kurasov P., Sigurdsson R. (eds). Birkhäuser, Cham
Analysis Meets Geometry, Trends in Mathematics. Andersson M., Boman J., Kiselman C., Kurasov P., Sigurdsson R. (eds). Birkhäuser, Cham, 2017
Trends in Mathematics ISBN: 9783319524696
Analysis Meets Geometry, Trends in Mathematics. Andersson M., Boman J., Kiselman C., Kurasov P., Sigurdsson R. (eds). Birkhäuser, Cham, 2017
Trends in Mathematics ISBN: 9783319524696
We show that Coleff–Herrera type products of residue currents can be defined by analytic continuation of natural functions depending on one complex variable.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::188b1d1f78d1809aa7242b22ff117b82
https://hal.archives-ouvertes.fr/hal-01885899
https://hal.archives-ouvertes.fr/hal-01885899
The Ronkin function plays a fundamental role in the theory of amoebas. We introduce an analogue of the Ronkin function in the setting of coamoebas. It turns out to be closely related to a certain toric arrangement known as the shell of the coamoeba a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30a2f4f043492e76a3ecae8eebd40338
http://arxiv.org/abs/1412.1585
http://arxiv.org/abs/1412.1585
In this paper we use recently developed calculus of residue currents together with integral formulas to give a new explicit analytic realization, as well as a new analytic proof of Serre duality on any reduced pure $n$-dimensional paracompact complex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4856d7eef81ae8b00f83019b5f28363e
http://arxiv.org/abs/1401.8093
http://arxiv.org/abs/1401.8093
We study extensions of Wermer's maximality theorem to several complex variables. We exhibit various smoothly embedded manifolds in complex Euclidean space whose hulls are non-trivial but contain no analytic disks. We answer a question posed by Lee St
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::441bbc7a632a8eca7539d2a3b0e09df1