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The first main theorem on complements: from global to local

Mathematics – Algebraic Geometry
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The first two Betti numbers of the moduli spaces of vector bundles on surfaces

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The Fixed Point Locus of the Verschiebung on M_x(2,0) for Genus-2 Curves X in Charateristic 2

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The forgetful map in rational K-theory

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The fourth tautological group of $\bar{\mathcal{M}_{g,n}}$ and relations with the cohomology

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The Frobenius action on rank 2 vector bundles over curves in small genus and small characteristic

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The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3

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The Full Automorphism Group of a Cyclic $p$-gonal Surface

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The Full Flag Hilbert Scheme of Nodal Curves and the Punctual Hilbert Scheme of Points of the Cusp Curve

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The Functor of a Smooth Toric Variety

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The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces

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The Fundamental Group of a CP^2 Complement of a Branch Curve as an Extension of a Solvable Group by a Symmetric Group

Mathematics – Algebraic Geometry
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The fundamental group of a Galois cover of CP^1 X T

Mathematics – Algebraic Geometry
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The fundamental group of affine curves in positive characteristic

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The Fundamental Group of an Algebraic Stack

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The fundamental group of Galois cover of the surface ${\mathbb T} \times {\mathbb T}$

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The fundamental group of period domains over finite fields

Mathematics – Algebraic Geometry
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The fundamental group of quotients of a product of curves

Mathematics – Algebraic Geometry
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The Fundamental Group of Some Siegel Modular Threefolds

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The fundamental group of the complement of the branch curve of T times T in C^2

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