TY - GEN A1 - Martin, Bernd A1 - Hirsch, Tobias T1 - Deformation with sections: Cotangent cohomology, flatnes conditions and modular germs T2 - arXiv.org : (math.CV) Y1 - 2003 UR - http://arxiv.org/pdf/math/0306281v1.pdf ER - TY - CHAP A1 - Hirsch, Tobias T1 - Computing the Integral Closure of an Ideal Using its Rees Algebra T2 - Computational commutative and non-commutative algebraic geometry, proceedings of the Nato Advanced Research Workshop on Computational Commutative and Non-Commutative Algebraic Geometry, Chisinau, Moldova, 6 - 11 June 2004 Y1 - 2004 SN - 1-586-03505-3 SP - 145 EP - 155 PB - IOS Press CY - Amsterdam [u.a.] ER - TY - CHAP A1 - Martin, Bernd A1 - Hirsch, Tobias T1 - Modular Strata of Deformation Functors T2 - Computational commutative and non-commutative algebraic geometry, proceedings of the Nato Advanced Research Workshop on Computational Commutative and Non-Commutative Algebraic Geometry, Chisinau, Moldova, 6 - 11 June 2004 Y1 - 2005 SN - 1-586-03505-3 SP - 156 EP - 166 PB - IOS Press CY - Amsterdam [u.a.] ER - TY - GEN A1 - Buras, Allan A1 - Hirsch, Florian A1 - Schneider, Anna A1 - Scharnweber, Tobias A1 - Maaten, Ernst van der A1 - Cruz-García, Roberto A1 - Raab, Thomas A1 - Wilmking, Martin T1 - Reduced above-ground growth and wood density but increased wood chemical concentrations of Scots pine on relict charcoal hearths T2 - Science of The Total Environment N2 - Deciphering the drivers of tree growth is a central aim of dendroecology. In this context, soil conditions may play a crucial role, since they determine the availability of water and nutrients for trees. Yet, effects of systematically differing soil conditions on tree growth render a marginally studied topic. In this context, relict charcoal hearths (RCH) – a widespread legacy of anthropogenic charcoal production – render a valuable ‘natural’ experiment to study possible effects of artificially altered soil conditions on tree growth. We hypothesize, that the differing physico-chemical properties of RCH result in differing wood properties if compared to trees growing on unmodified soils. To test this hypothesis, we analyzed tree-growth, wood density, and wood elemental concentrations of Scots pine as well as physico-chemical soil properties. We applied a classic control-treatment design to compare RCH with unmodified soils. Our analyses identified significantly lower above-ground wood production but systematically higher wood elemental concentrations in RCH-trees compared to control trees. Since we could not identify treatment-specific growth patterns, we hypothesize the observed lower above-ground productivity of Scots pine to indicate an increased root-shoot ratio to compensate for a potentially lower plant water availability on RCH-sites. The observed higher wood elemental concentrations likely reflect higher soil elemental concentrations of Fe, Ca, K, and Mn in RCH soils. In conclusion, our study highlights diverse effects of RCH on tree growth and wood properties and strengthens the value of dendro-chemistry to use the tree-ring archive as proxy for soil conditions within a dendro-ecological context. Y1 - 2020 U6 - https://doi.org/10.1016/j.scitotenv.2020.137189 SN - 1879-1026 SN - 0048-9697 VL - 717 ER - TY - JOUR A1 - Martin, Bernd A1 - Hirsch, Tobias T1 - Deformations with section: Cotangent cohomology, flatness and modular subspaces Y1 - 2006 ER - TY - THES A1 - Hirsch, Tobias T1 - Modular deformations of isolated singularities KW - Algebraische Geometrie KW - Singularitätentheorie KW - Komplexe Analysis KW - Computeralgebra KW - Modulräume KW - Deformationstheorie Y1 - 2004 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:co1-000000538 PB - Brandenburgische Techn. Univ. CY - Cottbus ER - TY - RPRT A1 - Hirsch, Tobias T1 - Computing the integral closure of an ideal using its Rees algebra Y1 - 2002 PB - BTU, Institut für Mathematik CY - Cottbus ER -