Results 41 to 50 of about 1,034,783 (201)
Determining the cohomological dimension of certain compacta
, 1987 In previous work of this author and of John J. Walsh it was shown that many of the known examples of hereditarily infinite dimensional compacta have infinite cohomological dimension.
Leonard R. Rubin
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Calculating the virtual cohomological dimension of the automorphism group of a RAAG [PDF]
, 2020 We describe an algorithm to find the virtual cohomological dimension of the automorphism group of a right‐angled Artin group. The algorithm works in the relative setting; in particular, it also applies to untwisted automorphism groups and basis ...
Wade, Richard D. +5 more
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Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
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Cohomological support loci for Abel-Prym curves
Le Matematiche, 2008 For an Abel-Prym curve contained in a Prym variety, we determine the cohomological support loci of its twisted ideal sheaves and the dimension of its theta-dual.
Sebastian Casalaina Martin +2 more
doaj
Cartwright–Sturmfels Hilbert schemes
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
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Strong Cohomological Dimension [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2008 We characterize strong cohomological dimension of separable metric spaces in terms of extension of mappings. Using this characterization, we discuss the relation between strong cohomological dimension and (ordinal) cohomological dimension and give examples to clarify their gaps.
Jerzy Dydak, Akira Koyama
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On cohomological dimension of the moduli space of Riemann surfaces
, 2014 On cohomological dimension of the moduli space of Riemann ...
MONDELLO, GABRIELE
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A shape theoretic approach to generalized cohomological dimension with respect to topological spaces [PDF]
, 2014 A. N. Dranishnikov introduced the notion of generalized cohomological dimension of compact metric spaces with respect to CW spectra. In this paper, taking an inverse system approach, we generalize this definition and obtain two types of generalized ...
Miyata, Takahisa
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On the integral simplicial volume of cyclic covers of mapping tori
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti +1 more
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Cohomological dimension of locally connected compacta
, 2001 In this paper we investigate the cohomological dimension of cohomologically locally connected compacta with respect to principal ideal domains. We show the cohomological dimension version of the Borsuk–Siecklucki theorem: for every uncountable family {Kα}
Koyama, Akira, Dydak, Jerzy
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