Add to ORKGWe give conditions for the Mayer–Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties and schemes, using the theory of monoid schemes. These conditions are used to relate algebraic K-theory to topological cyclic homology in characteristic p. To achieve our goals, we develop many notions for monoid schemes based on classical algebraic geometry, such as separated and proper maps and resolution of singularities
AbstractTame monomial ideals are monomial ideals that render smooth blowups of affine n-space. We gi...
We study different notions of blow-up of a scheme $X$ along a subscheme $Y$, depending on the datum ...
AbstractWe compute the André–Quillen (or Harrison) cohomology of an affine toric variety. The best r...
We give conditions for the Mayer–Vietoris property to hold for the algebraic K-theory of blow-up squ...
We study the algebraic $K$-theory and Grothendieck-Witt theory of proto-exact categories of vector b...
We study the algebraic K-theory and Grothendieck–Witt theory of proto-exact categories of vector bun...
We initiate the study of the resolution of singularities properties of Nash blowups over fields of p...
New version. Appeared in "Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales, Seri...
Let p>3 be a prime number and K a finite extension of Q_p. We consider a proper and smooth surface X...
In this thesis we compare Suslin–Voevodsky’s sheaves of proper effective relative cycles with preshe...
In the first part, we introduce a new condition, called toric-additivity, on a family of abelian var...
AbstractIn [K. Kato, Toric singularities, Amer. J. Math. 116 (5) (1994) 1073–1099], Kato defined his...
We prove that many families of toric ideals stabilize up to symmetry. Our results imply Hillar-Sulli...
We develop an analogue of Eisenbud-Floystad-Schreyer's Tate resolutions for toric varieties. Our con...
The traditional way to study algebraic cycles on an algebraic variety uses the Chow groups. However,...
AbstractTame monomial ideals are monomial ideals that render smooth blowups of affine n-space. We gi...
We study different notions of blow-up of a scheme $X$ along a subscheme $Y$, depending on the datum ...
AbstractWe compute the André–Quillen (or Harrison) cohomology of an affine toric variety. The best r...
We give conditions for the Mayer–Vietoris property to hold for the algebraic K-theory of blow-up squ...
We study the algebraic $K$-theory and Grothendieck-Witt theory of proto-exact categories of vector b...
We study the algebraic K-theory and Grothendieck–Witt theory of proto-exact categories of vector bun...
We initiate the study of the resolution of singularities properties of Nash blowups over fields of p...
New version. Appeared in "Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales, Seri...
Let p>3 be a prime number and K a finite extension of Q_p. We consider a proper and smooth surface X...
In this thesis we compare Suslin–Voevodsky’s sheaves of proper effective relative cycles with preshe...
In the first part, we introduce a new condition, called toric-additivity, on a family of abelian var...
AbstractIn [K. Kato, Toric singularities, Amer. J. Math. 116 (5) (1994) 1073–1099], Kato defined his...
We prove that many families of toric ideals stabilize up to symmetry. Our results imply Hillar-Sulli...
We develop an analogue of Eisenbud-Floystad-Schreyer's Tate resolutions for toric varieties. Our con...
The traditional way to study algebraic cycles on an algebraic variety uses the Chow groups. However,...
AbstractTame monomial ideals are monomial ideals that render smooth blowups of affine n-space. We gi...
We study different notions of blow-up of a scheme $X$ along a subscheme $Y$, depending on the datum ...
AbstractWe compute the André–Quillen (or Harrison) cohomology of an affine toric variety. The best r...