Koppelman formulas on the A_1-singularity

In the present paper, we study the regularity of the Andersson-Samuelsson Koppelman integral operator on the $A_1$-singularity. Particularly, we prove $L^p$- and $C^0$-estimates. As applications, we obtain $L^p$-homotopy formulas for the $\bar{\partial}$-equation on the $A_1$-singularity, and we prove that the $\mathcal{A}$-forms introduced by Andersson-Samuelsson are continuous on the $A_1$-singularity.Comment: 23 pages. v3: Minor changes made for the final versio

Koppelman formulas on affine cones over smooth projective complete intersections

In the present paper, we study regularity of the Andersson-Samuelsson Koppelman integral operator on affine cones over smooth projective complete intersections. Particularly, we prove $L^p$- and $C^\alpha$-estimates, and compactness of the operator, when the degree is sufficiently small. As applications, we obtain homotopy formulas for different $\overline{\partial}$-operators acting on $L^p$-spaces of forms, including the case $p=2$ if the varieties have canonical singularities. We also prove that the $\mathcal{A}$-forms introduced by Andersson-Samuelsson are $C^\alpha$ for $\alpha < 1$.Comment: 22 pages. v2: corrections from the review process. arXiv admin note: text overlap with arXiv:1407.570

A comparison formula for residue currents

Given two ideals $\mathcal{I}$ and $\mathcal{J}$ of holomorphic functions such that $\mathcal{I} \subseteq \mathcal{J}$, we describe a comparison formula relating the Andersson-Wulcan currents of $\mathcal{I}$ and $\mathcal{J}$. More generally, this comparison formula holds for residue currents associated to two generically exact Hermitian complexes together with a morphism between the complexes. One application of the comparison formula is a generalization of the transformation law for Coleff-Herrera products to Andersson-Wulcan currents of Cohen-Macaulay ideals. We also use it to give an analytic proof by means of residue currents of theorems of Hickel, Vasconcelos and Wiebe related to the Jacobian ideal of a holomorphic mapping.Comment: 22 pages, v6: Minor sign correction in equation (3.4

Can sexual selection drive female life histories? A comparative study on Galliform birds

Sexual selection is an important driver of many of the most spectacular morphological traits that we find in the animal kingdom (for example see Andersson, 1994). As such, sexual selection is most often emphasized as

Interrogating the Migration Industry

Review of Ruben Andersson,Illegality, Inc. (Oakland, CA: University of California Press, 2014)and Amy Nethery and Stephanie J. Silverman(eds.), Immigration Detention: The Migration of a Policy and its Human Impact.(London and New York: Routledge, 2015

A taxonomic revision of the endemic members of Varronia P. Br. (Cordiaceae) in the Galápagos Islands

The Galápagos Islands have long been an arena for biological diversity, scientific discovery, and conservation. Accurate identification and documentation of the flora of the Galápagos continue to aid conservation efforts. The purpose of this study was to conduct a taxonomic revision of the endemic members genus Varronia (Cordiaceae) on the Islands: V. revoluta (Hook. f.) Andersson, V. leucophlyctis (Hook. f.) Andersson, V. canescens Andersson, and V. scouleri (Hook. f.) Andersson. Taxonomic uncertainty among these species has resulted in difficult evaluation of their potential for conservation status by the International Union for the Conservation of Nature. The present taxonomic study concludes that there are four endemic species of Varronia: V. revoluta (Hook. f.) Andersson, V. leucophlyctis (Hook. f.) Andersson, V. canescens Andersson, and V. scouleri (Hook. f.) Andersson. Further, this study has resulted in a new dichotomous key for field identification, using hair types as the strongest characters for differentiation between species. A new distribution map also specifies on which islands each species has been found. Proper identification and distribution assessment adds valuable information for the evaluation of endemic Varronia populations on the Islands to determine the conservation status of each species