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On the positivity of the first Chern class of an Ulrich vector bundle [PDF]
Communications in Contemporary Mathematics, 2021 We study the positivity of the first Chern class of a rank [Formula: see text] Ulrich vector bundle [Formula: see text] on a smooth [Formula: see text]-dimensional variety [Formula: see text].
Angelo Felice Lopez
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Nef vector bundles on a projective space or a hyperquadric with the first Chern class small [PDF]
Rendiconti del Circolo Matematico di Palermo Series 2, 2021 We give a new proof of the classification due to Peternell–Szurek–Wiśniewski of nef vector bundles on a projective space with the first Chern class less than three and on a smooth hyperquadric with the first Chern class less than two over an ...
Masahiro Ohno
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The big Chern classes and the Chern character [PDF]
International Journal of Mathematics, 2005 Let X be a smooth scheme over a field of characteristic 0. The Atiyah class of the tangent bundle TXof X equips TX[-1] with the structure of a Lie algebra object in the derived category D+(X) of bounded below complexes of [Formula: see text] modules with coherent cohomology [6]. We lift this structure to that of a Lie algebra object [Formula: see text]
Ajay C. Ramadoss
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Real higher-order Weyl photonic crystal [PDF]
Nature Communications, 2023 Higher-order Weyl semimetals are a family of recently predicted topological phases simultaneously showcasing unconventional properties derived from Weyl points, such as chiral anomaly, and multidimensional topological phenomena originating from higher ...
Yuang Pan +11 more
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THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME [PDF]
Forum of Mathematics, Sigma, 2019 The Chern–Schwartz–MacPherson class of a hypersurface in a nonsingular variety may be computed directly from the Segre class of the Jacobian subscheme of the hypersurface; this has been known for a number of years.
PAOLO ALUFFI
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Chern classes of crystals [PDF]
Transactions of the American Mathematical Society, 2017 The crystalline Chern classes of the value of a locally free crystal vanish on a smooth variety defined over a perfect field. Out of this we conclude new cases of de Jong’s conjecture relating the geometric étale fundamental group of a smooth projective variety defined over an algebraically closed field and the constancy of its category of isocrystals.
Hélène Esnault, Atsushi Shiho
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q-deformed Chern class, Chern-Simons and cocycle hierarchy [PDF]
Journal of Physics A: Mathematical and General, 1995 In this paper, from the $q$-gauge covariant condition we define the $q$-deformed Killing form and the second $q$-deformed Chern class for the quantum group $SU_{q}(2)$. Developing Zumino's method we introduce a $q$-deformed homotopy operator to compute the $q$-deformed Chern-Simons and the $q$-deformed cocycle hierarchy.
Bo-Yu Hou, Bo-Yuan Hou, Zhong-Qi Ma
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Grothendieck classes and Chern classes of hyperplane arrangements [PDF]
International Mathematics Research Notices, 2012 We show that the characteristic polynomial of a hyperplane arrangement can be recovered from the class in the Grothendieck group of varieties of the complement of the arrangement.
Aluffi +26 more
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Intersection numbers with Witten’s top Chern class [PDF]
, 2008 Witten’s top Chern class is a particular cohomology class on the moduli space of Riemann surfaces endowed with r-spin structures. It plays a key role in Witten’s conjecture relating to the intersection theory on these moduli spaces.
Sergey Shadrin, Dimitri Zvonkine
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Chern classes of free hypersurface arrangements [PDF]
Journal of Singularities, 2012 The Chern class of the sheaf of logarithmic derivations along a simple normal crossing divisor equals the Chern-Schwartz-MacPherson class of the complement of the divisor.
Aluffi, Paolo
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