We develop a theory of $p$-adic automorphic forms on unitary groups that allows interpolation in families and holds for all primes $p$ do not ramify the reflex field $E$ associated Shimura variety. If ordinary locus is nonempty (a condition only met if splits completely $E$), we recover Hida's forms, which defined over locus. More generally, work $\mu$-ordinary locus, open dense. By eliminating...

For a semistable reflexive sheaf E of rank r and c1 = a on P n and an integer d such that r|ad, we give sufficient conditions so that the restriction of E on a generic rational curve of degree d is balanced, i.e. a twist of the trivial bundle (for instance, if E has balanced restriction on a generic line, or r = 2 or E is an exterior power of the tangent bundle). Assuming this, we give a formul...

The present investigation examines palatal production as well as the relation of phonology and phonetics in Greek. In accordance with one production experiment, the results indicate: (1) palatal productions that surface from one underlying segment are significantly longer than palatal productions that surface from two underlying segments, (2) palatal productions are voice assimilated with the p...

We give a description of the individual Ekedahl-Oort strata contained in the supersingular locus in terms of Deligne-Lusztig varieties, refining a result of Harashita.

There are various forms of what’s sometimes called generative art, or computer art. This paper distinguishes the major categories, and asks whether the appropriate aesthetic criteria--and the locus of creativity--are the same in each case.

Effects of Knowledge of Accountability in Mastery Learning Programs on Academic Achievement, Goal Setting Characteristics, and Locus-of-Control Orientation