The Osculating cone to special Brill-Noether Loci

In this paper, we describe the osculating cone to Brill-Noether loci $W^{0}_{d}(C)$ at smooth isolated points of $W^{1}_{d}(C)$ for a smooth canonically embedded curve $C$ of even genus $g=2(d-1)$. In particular, we show that the canonical curve $C$ is a component of the osculating cone. The proof is based on techniques introduced by George Kempf in 1986.Comment: 18 pages, v3: to appear in Collectanea Mathematic

"Geistige Dinge, die nicht durch die Sinne gelaufen sind, sind vergeblich ..." : objektive und subjektive Eigenschaften von Leonardos Werk im Zeitalter der Hirnforschung

Warum die von Leonardo da Vinci gemalte »Mona Lisa« so viele Betrachter fasziniert, hat als eines der größten Rätsel der Kunst jahrzehntelang die Phantasie von Wissenschaftlern, Schriftstellern und Kunstliebhabern beflügelt. In der jüngeren Kunstgeschichte war eine solche Frage allerdings kaum von Interesse. Heute nun beanspruchen Vertreter anderer Disziplinen, die Wirkung solcher Meisterwerke objektiv erklären zu können ..

Snap-n-Snack: a Food Image Recognition Application

Many people desire to be informed about the nutritional specifics of the food they consume. Current popular dietary tracking methods are too slow and tedious for a lot of consumers due to requiring manual data entry for everything eaten. We propose a system that will take advantage of image recognition and the internal camera of Android phones to identify food based off of a picture of a user’s plate. Over the course the last year, we trained an object detection model with images of different types of food, built a mobile application around it, and tested their integration and performance. We believe that our program meets the requirements we set out for it at its conception and delivers a simple, fast, and efficient way of tracking one’s diet