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63 papers · 1 filter
The integral identity conjecture in motivic homotopy theory
Khoa Bang Pham
The integral identity conjecture of Kontsevich and Soibelman plays an important role in proving the existence of motivic Donaldson-Thomas invariants for three-dimensional noncommut…
Codes on Weighted Projective Planes
Yağmur Çakıroğlu, Jade Nardi, Mesut Şahin
We comprehensively study weighted projective Reed-Muller (WPRM) codes on weighted projective planes . We provide the universal Gröbner basis for the vanishing id…
Parabolic subgroups in characteristics two and three
Matilde Maccan
This text brings to an end the classification of non-reduced parabolic subgroups in positive characteristic, especially two and three: they are all obtained as intersections of par…
Absolute calculus and prismatic crystals on cyclotomic rings
Michel Gros, Bernard Le Stum, Adolfo Quirós
Let be a prime, the ring of Witt vectors of a perfect field of characteristic and a primitive th root of unity. We introduce a new notion of calculus over $W…
Submanifolds with ample normal bundle
Maycol Falla Luza, Frank Loray, Jorge Vitório Pereira
We construct germs of complex manifolds of dimension along projective submanifolds of dimension with ample normal bundle and without non-constant meromorphic functions when…
Cartier transform and prismatic crystals
Michel Gros, Bernard Le Stum, Adolfo Quirós
We show that the abstract equivalence of categories, called Cartier transform, between crystals on the q-crystalline and prismatic sites can be locally identified with the explicit…