1,721,163 research outputs found
La raccolta Mario Scaglia. Dipinti e sculture, medaglie e placchette da Pisanello a Ceruti
No full textCohomological invariants of root stacks and admissible double coverings
No full textWe give a formula for the cohomological invariants of a root stack, which we apply to compute the cohomological invariants and the Brauer group of the compactification of the stacks of hyperelliptic curves given by admissible double coverings
Effective Morphisms and Quotient Stacks
Full text linkWe give a valuative criterion for when a smooth algebraic stack with a separated good moduli space is the quotient of a separated Deligne–Mumford stack by a torus. For doing so, we introduce a new class of morphisms, the effective morphisms, which are a generalization of separated morphisms
Intersection theory on moduli of smooth complete intersections
No full textWe provide a general method for computing rational Chow rings of moduli of smooth complete intersections. We specialize this result in different ways: to compute the integral Picard group of the associated stack; to obtain an explicit presentation of rational Chow rings of moduli of smooth complete intersections of codimension two; to prove old and new results on moduli of smooth curves of genus ≤ 5 and polarized K3 surfaces of degree ≤ 8
Integral Picard group of moduli of polarized K3 surfaces
Full text linkWe compute the integral Picard group of the moduli stack of polarized K3 surfaces of fixed degree whose singularities are at most rational double points, and of its coarse moduli space. We also compute the integral Picard group of the stack of quasi-polarized K3 surfaces, and of the stacky period domain
Are we saying it right? Communication strategies for fighting vaccine hesitancy
Full text linkVaccine hesitancy is a multi-faceted phenomenon, deeply rooted in cultural, socioeconomic and personal background. Communication is deemed fundamental in fighting vaccine hesitancy. Medical communication should be accessible, relying both on an emotional approach and accurate information. Trained professionals should curate communication with the public
The integral Chow rings of moduli of Weierstrass fibrations
Full text linkWe compute the Chow rings with integral coefficients of moduli stacks of minimal Weierstrass fibrations over the projective line. For each integer N ≥ 1, there is a moduli stack Wmin N parametrizing minimal Weierstrass fibrations with fundamental invariant N. Following work of Miranda and Park-Schmitt, we give a quotient stack presentation for each Wmin N . Using these presentations and equivariant intersection theory, we determine a complete set of generators and relations for each of the Chow rings. For the cases N = 1 (respectively, N = 2), parametrizing rational (respectively, K3) elliptic surfaces, we give a more explicit computation of the relations
The integral Chow ring of the stack of smooth non-hyperelliptic curves of genus three
Full text linkWe compute the integral Chow ring of the stack of smooth, nonhyperelliptic curves of genus 3. We obtain this result by computing the integral Chow ring of the stack of smooth plane quartics, by means of equivariant intersection theory
Brauer groups of moduli of hyperelliptic curves via cohomological invariants
Full text linkUsing the theory of cohomological invariants for algebraic stacks, we compute the Brauer group of the moduli stack of hyperelliptic curves over any field of characteristic. In positive characteristic, we compute the part of the Brauer group whose order is prime to the characteristic of the base field
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