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math.AG2026
Log Canonical Models and Positive Geometries
Benjamin Hollering, Dmitrii Pavlov, Elizabeth Pratt
Constructing log canonical compactifications of open varieties is a central problem in birational geometry. Finding a natural coordinate system and obtaining the equations of these…
math.AG2023
Algebraic Geometry of Quantum Graphical Models
Eliana Duarte, Dmitrii Pavlov, Maximilian Wiesmann
Algebro-geometric methods have proven to be very successful in the study of graphical models in statistics. In this paper we introduce the foundations to carry out a similar study…
math.AG2023
Logarithmically Sparse Symmetric Matrices
Dmitrii Pavlov
A positive definite matrix is called logarithmically sparse if its matrix logarithm has many zero entries. Such matrices play a significant role in high-dimensional statistics and…