2 citations · 4 across the 5 of their papers we have counts for
5 papers
Diophantine Approximation on varieties V: Algebraic independence criteria
Heinrich Massold
For a tuple of complex number, buliding on the approximation techniques in earlier papers of this series, this paper engages in deducing lower estimates on the trans…
Diophantine Approximation on Varieties IV: Derivated algebraic distance and derivative metric Bezout Theorem
Heinrich Massold
The metric Bezout Theorem proved in an earlier paper can be extended to a derivative version that compares derivatives of the algebraic distance of a point to two properly inte…
Diophantine Approximation on varieties III: Approximation of non-algebraic points by algebraic points
Heinrich Massold
For a non-algebraic point on a quasi projective variety over a number field, I prove that has an approximation by a series of algebraic points of bounded height and degree…
Diophantine Approximation of non-algebraic points on varieties II: Explicit estimates for arithmetic Hilbert Functions
Heinrich Massold
Because of its ineffectiveness, the usual arithmetic Hilbert-Samuel formula is not applicable in the context of Diophantine Approximation. In order to overcome this difficulty, the…
Diophantine Approximation on projective Varieties I: Algebraic distance and metric Bézout Theorem
Heinrich Massold
For two properly intersecting effective cycles in projective space X,Y, and their intersection product Z, the metric Bezout Theorem relates the degrees, heights of X,Y, and Z, as w…