The Invariants of Unipotent Radicals of Parabolic Subgroups.
The Moduli of Weierstrass Fibriations Over P1 .
The moduli scheme M (0, 2, 4) over IP3.
The Moduli Space of (3,3,3) Trilinear forms.
The moduli space of totally marked degree two rational maps
A rational map ϕ: ℙ¹ → ℙ¹ along with an ordered list of fixed and critical points is called a totally marked rational map. The space of totally marked degree two rational maps can be parametrized by an affine open subset of (ℙ¹)⁵. We consider the natural action of SL₂ on induced from the action of SL₂ on (ℙ¹)⁵ and prove that the quotient space exists as a scheme. The quotient is isomorphic to a Del Pezzo surface with the isomorphism being defined over ℤ[1/2].
Troesch complexes and extensions of strict polynomial functors
We develop a new approach of extension calculus in the category of strict polynomial functors, based on Troesch complexes. We obtain new short elementary proofs of numerous classical -computations as well as new results. In particular, we get a cohomological version of the “fundamental theorems” from classical invariant theory for for big enough (and we give a conjecture for smaller values of ). We also study the “twisting spectral sequence” converging to the extension groups between the...
Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen.
Über die Glattheit von Quotientenabbildungen.
Über Hilberts vierzehntes Problem für Varietäten mit Kompliziertheit eins.
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Unstable hyperplane for Steiner bundles and multidimensional matrices.
Variation of geometric invariant theory quotients
Variétés de modules extrémales de faisceaux semi-stables sur IP2 (C).
When is a Ring of Torus Invariants a Polynomial Ring?
Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties
Группы Брауэра полей инвариантов алгебраических групп
Замкнутые орбиты борелевских подгрупп
Инварианты присоединенного действия классических групп.
О проективных модулях над кольцами инвариантов
Об одном обощении теоремы Размыслова - Прочези