8 papers
-reductivity and -completeness for adjoint Fano foliated structures
Theodoros Stylianos Papazachariou
We prove the valuative criteria of -reductivity and -completeness for the moduli problem of -K-semistable adjoint Fano foliated structures. We develop a mixed Ding theory…
Singularity criteria for K-stability of adjoint foliated structures
Theodoros Stylianos Papazachariou
We prove singularity criteria for the -K-stability of adjoint foliated structures. We first show that K-semistability of adjoint foliated structures implies log canonicity by ex…
K-stability of adjoint foliated structures
Theodoros Stylianos Papazachariou
We introduce a notion of K-stability for adjoint foliated structures via test configurations and the foliated Donaldson-Futaki invariant. We prove reduction to special test configu…
Nets of quadric surfaces and plane cubics and their GIT stability
Masafumi Hattori, Theodoros Stylianos Papazachariou, Aline Zanardini
A general net of quadric surfaces, together with a choice of a base point, defines a net of plane cubics via the Gale transformation of the remaining seven base points. To both net…
K-Moduli of Fano Threefolds of Family 3.3
Erroxe Etxabarri-Alberdi, James Matthew Jones, Theodoros Stylianos Papazachariou
We explicitly fully describe the K-moduli space of Fano threefold family number 3.3. We first show that K-semistable Fano varieties with volume greater than 18 are Gorenstein canon…
K-moduli of log Fano complete intersections
Theodoros Stylianos Papazachariou
We explicitly describe the K-moduli compactifications and wall crossings of log pairs formed by a Fano complete intersection of two quadric threefolds and a hyperplane, by construc…